Answer:
Probability = 1/7776
Step-by-step explanation:
We know that probability is given by:
Probability = No. of Desirable outcomes / Total no. of outcomes.
If a die is rolled 5 time, we need to find the probability that the sequence of rolls is 4, 6, 1, 5, 3.
If a die is rolled first time, the probability that it will get 4 is:
Probability (4) = 1/6
Similarly if a die is rolled second time, the probability that it will get a 6 is:
Probability (6) = 1/6
Similarly the probability of each number on each roll is 1/6
To find the collective probability of 5 rolls, we'll multiply all the 5 probabilities to get the answer.
Probability = P(4) · P(6) · P(1) · P(5) · P(3)
Probability = 1/6 · 1/6 · 1/6 · 1/6 · 1/6
Probability = 1/7776
